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Finding the Fourth Proportional to 286,492.41, 429,471.51 and 96,820.14

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Solution

The fourth proportional to 286,492.41, 429,471.51 and 96,820.14 is: 145,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,492.41 : 429,471.51 = 96,820.14 : x
  2. Step 2: Convert to fraction form
    286,492.41/429,471.51 = 96,820.14/x
  3. Step 3: Cross multiply
    286,492.41x = 429,471.51 × 96,820.14
  4. Step 4: Simplify right side
    286,492.41x = 41,581,492,971.65
  5. Step 5: Solve for x
    x = 41,581,492,971.65/286,492.41
  6. Step 6: Final answer
    x = 145,139.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.